id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1301	Šimáně, Č.	Non Mechanical (Mezic) Type Forces in the Foundations of Quantum Mechanics	2010	5	.pdf	application/pdf	3360	111	56	Then, the equations of motion can be explicitly written in the form[ μ d�v dt + μ d�u dt δV + (�v + �u) dμ dt δV+ μ (�v + �u) (δV ) dt + e m μ∇ϕδV − �uq ] mδV = 0 (8) The time derivative of δV in the fourth member of (8) must be treated as the sum of the derivatives at �v and �u constant μ(�v + �u) (δV ) dt = μ(�v + �u) [div�u(�v + �u) + div�v(�v + �u)] δV = μ�v div�vδV + μu div �uδV (9) μ d�v dt + �v [( ∂μ ∂t ) �u + div(μ�v) ] + e m μ∇ϕ+ μ d�u dt + �u [( ∂μ ∂t ) �v + div (μ�u) ] + �uq = 0 (11) Here again the partial time derivatives must be taken at �v and �u constant.	cache/ap-1301.pdf	txt/ap-1301.txt